Question

Find the Measurements of the arc or angle indicated.

Answer 1

5) 126

6) 116

Explanation:

5) m∠NLM is equal to the arc MN, or 63x.

To find x, use the inscribed angle theorem.

32x − 1 = ½ (63x)

64x − 2 = 63x

x = 2

Therefore:

m∠NLM = 63(2)

m∠NLM = 126

6) Using the same logic:

9x + 4 = ½ (19x + 2)

18x + 8 = 19x + 2

x = 6

Therefore:

mYX = 19(6) + 2

mYX = 116